Suppose systems A and B each have 25 bins, and each bin can store one unit of energy. If a system has one unit of energy, its multiplicity is Ω = 25 because the unit of energy can go into any of the 25 bins. If there are two units of energy, the second to arrive has only 24 choices of bins and so the multiplicity is Ω = 25×24. With three units of energy,the multiplicity is Ω = 25×24×23, and so on. The entropy of a state is S=kBlnΩ, but if we measure entropy in multiples of kB, which we'll do in this problem, the entropy is simply S=lnΩ. Suppose that A and B between them have 10 units of energy to share.